48617423702784 has 432 divisors, whose sum is σ = 143914200288768. Its totient is φ = 15777485365248.

The previous prime is 48617423702773. The next prime is 48617423702843. The reversal of 48617423702784 is 48720732471684.

48617423702784 is a `hidden beast` number, since 4 + 8 + 61 + 7 + 423 + 70 + 2 + 7 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27206167939 + ... + 27206169725.

Almost surely, 2^{48617423702784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48617423702784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71957100144384).

48617423702784 is an abundant number, since it is smaller than the sum of its proper divisors (95296776585984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48617423702784 is a wasteful number, since it uses less digits than its factorization.

48617423702784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3040 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 101154816, while the sum is 63.

The spelling of 48617423702784 in words is "forty-eight trillion, six hundred seventeen billion, four hundred twenty-three million, seven hundred two thousand, seven hundred eighty-four".